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3 years ago

Evaluate the inequality 6x-2y+8 when x=3 and y=2 show your work

Mathematics

2 answers:

tatuchka [14]3 years ago

7 0

Answer:

Step-by-step explanation:

6x-2y+8

(6 • 3) - (2 • 2) + 8

18 - 4 + 8

(i think)

snow_tiger [21]3 years ago

3 0

Answer:

Step-by-step explanation:

6(3)-2(2)+8

18-4+8

14+8

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Elia rode her bicycle from her house to the beach at a constant speed of 18 kilometers per hour, and then rode from the beach to

sasho [114]

Answer:

$\displaystyle b=0.45\ h$

$\displaystyle p=0.55\ h$

Step-by-step explanation:

Cinematics

When an object moves at a constant speed, it can be computed as

$\displaystyle v=\frac{x}{t}$

Where x is the distance traveled and t the time needed to complete it at the constant speed v

If we wanted to compute t from the equation above, then

$\displaystyle t=\frac{x}{v}$

Elia rode her bicycle from her house to the beach at 18 km/h and then from the beach to the park at 15 km/h, taking 1 hour in the whole travel, each distance being equal. If we call b as the number of hours it took Elia to ride from her house to the beach, and p the number of hours it took her to ride from the beach to the park, then we can compute

$\displaystyle b=\frac{x}{18}$

$\displaystyle p=\frac{x}{15}$

The question doesn't ask for something in particular, so I'm helping you by solving the complete problem. We know the total time is 1 hour, so

$\displaystyle b+p=1$

Replacing b and p

$\displaystyle \frac{x}{18}+\frac{x}{15}=1$

Multiplying by 90

$\displaystyle \frac{90x}{18}+\frac{90x}{15}=90$

Simplifying and solving for x

$\displaystyle 5x+6x=90$

$\displaystyle 11x=90$

$\displaystyle x=\frac{90}{11}=8.18\ km$

We finally compute b and p

$\displaystyle b=\frac{8.18}{18}=0.45\ h$

$\displaystyle p=\frac{8.18}{15}=0.55\ h$

8 0

4 years ago

Suppose you want to eat lunch at a popular restaurant. The restaurant does not take reservations, so there is usually a waiting

grin007 [14]

Answer:

a) $z_1 =\frac{20-19}{4} =0.25$

$z_2 =\frac{15-19}{4} =-1$

And we can use the complement rule and we got:

$P(z>0.25)=1-P(z$

$P(z>-1)=1-P(z$

And replacing we got:

$P(X >20| X>15)= \frac{0.401}{0.841}= 0.477$

b) $z_1 =\frac{20-19}{4} =0.25$

$z_2 =\frac{18-19}{4} =-0.25$

And we can use the complement rule and we got:

$P(z>0.25)=1-P(z$

$P(z>-0.25)=1-P(z$

And replacing we got:

$P(X >20| X>18)= \frac{0.401}{0.599}= 0.669$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the length of time waiting to be seated of a population, and for this case we know the distribution for X is given by:

$X \sim N(19,4.0)$